4 citations · 4 across the 6 of their papers we have counts for
8 papers
Propagation of anisotropic Gelfand-Shilov wave front sets
Patrik Wahlberg
We show a result on propagation of the anisotropic Gelfand--Shilov wave front set for linear operators with Schwartz kernel which is a Gelfand--Shilov ultradistribution of Beurling…
Pseudo-differential operators with isotropic symbols, Wick and anti-Wick operators, and hypoellipticity
Nenad Teofanov, Joachim Toft, Patrik Wahlberg
We study the link between pseudo-differential operators and Wick operators via the Bargmann transform. We deduce a formula for the symbol of the Wick operator in terms of the short…
The Gabor wave front set of compactly supported distributions
Patrik Wahlberg
We show that the Gabor wave front set of a compactly supported distribution equals zero times the projection on the second variable of the classical wave front set.
Shubin type Fourier integral operators and evolution equations
Marco Cappiello, René Schulz, Patrik Wahlberg
We study the Cauchy problem for an evolution equation of Schrödinger type. The Hamiltonian is the Weyl quantization of a real homogeneous quadratic form with a pseudodifferential p…
Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes
Marco Cappiello, René Schulz, Patrik Wahlberg
We study Fourier integral operators with Shubin amplitudes and quadratic phase functions associated to twisted graph Lagrangians with respect to symplectic matrices. We factorize s…
The Gabor wave front set
Luigi Rodino, Patrik Wahlberg
We define the Gabor wave front set of a tempered distribution in terms of rapid decay of its Gabor coefficients in a conic subset of the phase space. We show the incl…